Strikeforce fighters have been clamoring to cross over to the UFC, but it hasn’t really been the other way around.

But this fall, Frank Mir (16-6 MMA, 14-6 UFC) will slide over from the UFC to fight Strikeforce heavyweight tournament winner Daniel Cormier (10-0 MMA, 7-0 SF) under the Strikeforce banner, news that first was reported by USA TODAY Sports and MMAjunkie.com (www.mmajunkie.com).

And according to UFC president Dana White, it took “not much” convincing to get Mir to take the fight.

“It makes all the sense in the world when you really think about it,” White said Thursday after a news conference for Saturday’s UFC on FOX 4 event in Los Angeles. “Mir just lost. Who’s had more title shots for the heavyweight division in the UFC than Frank Mir? This guy’s been with the company for 11 years.

“For him to get the opportunity to go fight Cormier, and Cormier to have the opportunity to fight Mir, it really does make sense. If Cormier smokes Mir, or the other way around, it’s good stuff.”

Cormier, after a fairly lengthy layoff with a broken hand, in May beat Josh Barnett in a dominant unanimous decision to win Strikeforce’s heavyweight grand prix.

Although Cormier, Strikeforce officials told MMAjunkie.com, is not the promotion’s heavyweight champion, but merely its heavyweight tournament winner with a “trophy” belt, White said it would be a mistake if Cormier-Mir is not a title fight.

“It should be a title fight,” White said. “(Cormier) won the tournament – he’s their heavyweight champion. Whether he’s there for one fight or 10 fights, he’s their guy. That’s not my world, but as far as I know, it’s for the title. And if it’s not, that’s ridiculous – it should be.”

Strikeforce officials told MMAjunkie.com it has not yet been determined if the fight will be three rounds or five, but that it won’t be for a belt.

After the fight, Mir, a former heavyweight champion, is expected to return to the UFC. Cormier, who stayed to finish out the heavyweight tournament, is expected to move to the UFC and fight for the promotion for the first time likely in 2013.

Cormier initially was linked to a fight against former UFC heavyweight champion Tim Sylvia. That offer was rescinded, and White said Thursday that Sylvia never was in the running in his mind or that of CEO Lorenzo Fertitta.

“He was never considered by me or Lorenzo,” White said. “If Tim Sylvia went out and beat somebody that it would make sense for him to come back to the UFC, then yeah. I keep hearing stuff, he’s won however many in a row. But who has he beat? If he beats somebody that was worthy of him coming back, then yeah.”

White, who has been critical of Sylvia since he left the UFC, said there’s nothing personal between him and the heavyweight.

“Are me and Tim Sylvia best friends? Do we hang out on weekends? No,” White said. “But I have that relationship with other guys, too, that fight in the company.”

On Friday, Sylvia was announced for a fight in ONE FC against fellow former UFC heavyweight champion Andrei Arlovski later this month. It will be the fourth meeting between the two, with Sylvia already having two wins over the Chicago-based fighter from Belarus.

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